Theorems · Theorem · group theory
Localization.mk_left_injective
∀ {α : Type u_1} [inst : CommMonoid α] [IsCancelMul α] {s : Submonoid α} (b : ↥s),
Function.Injective fun a => Localization.mk a b- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidIsCancelMul
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- Localizationstatement · cited by 270
- Localization.mkstatement and proof · cited by 110
- IsCancelMulstatement and proof · cited by 32
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